Identifying structural isomorphism between two kinematic chains via nano topology

This research paper aims to analyse the structural equivalence of two undirected graphs via nano topology. Nano homeomorphism has been applied to identify the similarity between two graphs. We have proposed a new notion to define the neighbourhood of a vertex of an undirected graph and have defined the approximations through the neighbourhood and found out the nano topologies induced by the vertices of the graph and discussed the nano homeomorphisms and nano isomorphisms. We have checked the structural equivalence of the graphs via nano isomorphism. Also we have proposed an algorithm and have checked the structural equivalence of two kinematic chains by using nano isomorphism.Publisher's Versio

Determination of In Vitro Cytotoxicity and Anti-Angiogenesis for a Bioactive Compound from Aspergillus terreus FC36AY1 Isolated from Aegle marmelos around Western Ghats, India

The biotechnological research mainly emphasis its investigation on searching new natural drugs at economical to human welfare. With this view in mind, this research has focused to develop a prospective bioactive compound isolating from an efficient endophytic fungus isolated from potential medicinal tree Aegle marmelos. The endophytic fungus was isolated from the medicinal tree and identified as Aspergillus terreus FC36AY1. This fungus produced maximum of crude metabolites and this was produced in Sabouraud’s Dextrose Broth. The produced metabolites were extracted using acetone as a sole solvent and it was taken for the assessment of antimicrobial and antioxidant analysis. The crude metabolites exhibited maximum activity at least concentration and further the crude extract were taken for purification processes through chromatographic techniques. Through purification, five different fractions were eluted and those five different fractions were also assessed for antimicrobial and antioxidant analysis. From these analysis results, TA4 was found to be efficient fraction and it was characterized through FT-IR, GC-MS and UV-VIS analysis. The compound was taken for cytotoxicity determination in HT-29 cancer cells and anti-angiogenesis analysis was assessed through HET-CAM testing. The bio-activities study revealed that the compound TA4 has the ability to target the cancer cells in an efficient manner

Applying the Dijkstra Algorithm to Solve a Linear Diophantine Fuzzy Environment

Linear Diophantine fuzzy set (LDFS) theory expands Intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PyFS) theories, widening the space of vague and uncertain information via reference parameters owing to its magnificent feature of a broad depiction area for permissible doublets. We codify the shortest path (SP) problem for linear Diophantine fuzzy graphs. Linear Diophantine fuzzy numbers (LDFNs) are used to represent the weights associated with arcs. The main goal of the presented work is to create a solution technique for directed network graphs by introducing linear Diophantine fuzzy (LDF) optimality constraints. The weights of distinct routes are calculated using an improved score function (SF) with the arc values represented by LDFNs. The conventional Dijkstra method is further modified to find the arc weights of the linear Diophantine fuzzy shortest path (LDFSP) and coterminal LDFSP based on these enhanced score functions and optimality requirements. A comparative analysis was carried out with the current approaches demonstrating the benefits of the new algorithm. Finally, to validate the possible use of the proposed technique, a small-sized telecommunication network is presented

Neutrosophic αψ-Homeomorphism in Neutrosophic Topological Spaces

In this article, the concept of neutrosophic homeomorphism and neutrosophic αψ homeomorphism in neutrosophic topological spaces is introduced. Further, the work is extended as neutrosophic αψ∗ homeomorphism, neutrosophic αψ open and closed mapping and neutrosophic Tαψ space in neutrosophic topological spaces and establishes some of their related attributes

On Neutrosophic αψ-Closed Sets

The aim of this paper is to introduce the concept of α ψ -closed sets in terms of neutrosophic topological spaces. We also study some of the properties of neutrosophic α ψ -closed sets. Further, we introduce continuity and contra continuity for the introduced set. The two functions and their relations are studied via a neutrosophic point set

Neutrosophic αψ-Homeomorphism in Neutrosophic Topological Spaces

In this article, the concept of neutrosophic homeomorphism and neutrosophic αψ homeomorphism in neutrosophic topological spaces is introduced. Further, the work is extended as neutrosophic αψ∗ homeomorphism, neutrosophic αψ open and closed mapping and neutrosophic Tαψ space in neutrosophic topological spaces and establishes some of their related attributes

Decision-Making via Neutrosophic Support Soft Topological Spaces

The concept of interval neutrosophic sets has been studied and the introduction of a new kind of set in topological spaces called the interval valued neutrosophic support soft set has been suggested. We study some of its basic properties. The main purpose of this paper is to give the optimum solution to decision-making in real life problems the using interval valued neutrosophic support soft set

New MCDM Algorithms with Linear Diophantine Fuzzy Soft TOPSIS, VIKOR and Aggregation Operators

In this paper, we focus on several ideas associated with linear Diophantine fuzzy soft sets (LDFSSs) along with its algebraic structure. We provide operations on LDFSSs and their specific features, elaborating them with real-world examples and statistical depictions to construct an inflow of linguistic variables based on linear Diophantine fuzzy soft (LDFSS) information. We offer a study of LDFSSs to the multi-criteria decision-making (MCDM) process of university determination, together with new algorithms and flowcharts. We construct LDFSS-TOPSIS, LDFSS-VIKOR and the LDFSS-AO techniques as robust extensions of TOPSIS (a technique for order preferences through the ideal solution), VIKOR (Vlse Kriterijumska Optimizacija Kompromisno Resenje) and AO (aggregation operator). We use the LDFSS-TOPSIS, LDFSS-VIKOR and LDFSS-AO techniques to solve a real-world agricultural problem. Moreover, we present a small-sized robotic agri-farming to support the proposed technique. A comparison analysis is also performed to examine the symmetry of optimal decision and to analyze the efficiency of the suggested algorithms

Molecular and Functional Characterization of Metabolites from Terrestrial Streptomyces hygroscopicus AVS7 Isolated from Western Ghats, India

Genus Streptomyces contributes to almost 80% of the world’s antibiotics under actinomycetes group. Pigments produced by this genus also been widely reported to have application in different field. This study was aimed in isolating a bio pigment having antimicrobial, anticancer and quorum quenching properties. To achieve the aim soil samples from the regions of Western Ghats around Coimbatore (TN, India) were collected which holds biological diversity and rich in mineral wealth. The aim was attained through screening of antagonisms for potential strain and the morphological, biochemical, physiological and molecular characterization was investigated sequentially. Further, the biological studies were evaluated. Totally 161 Actinomycetes strains were isolated from the collected samples out of which potent 27 were pigmented Streptomyces sp. The potential strain was screened through antagonism principle and the morphological, biochemical, physiological and molecular characterization revealed that the strain is Streptomyces hygroscopicus AVS7 (KP732441). The crude pigmented secondary metabolites were extracted using polar solvent methanol from the biomass of the strain AVS7. The chemically characterized metabolite was a carboxylic acid derivative compound. The crude methanolic metabolites extract which was reddish brown in color showed maximum zone of inhibition against 6 different pathogenic organisms from antimicrobial assessment. The crude extract showed quenching activity of the quorum sensing molecules produced by Staphylococcus aureus. From this it is evident that the crude secondary metabolites have the potentiality of being an antibiotic. The bioactive crude extract was found to have biological properties at significant range and further bioprospecting activity will be evaluated in future studies